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Parseval Identity of Fourier Transform Video Lecture | CSIR NET Crash Course for Physical Science - CSIR NET Physical Science
FAQs on Parseval Identity of Fourier Transform Video Lecture - CSIR NET Crash Course for Physical Science - CSIR NET Physical Science
| 1. What is the Parseval Identity of Fourier Transform? |  |
Ans. The Parseval Identity of Fourier Transform states that the energy of a signal in the time domain is equal to the energy of its Fourier transform in the frequency domain.
| 2. How is the Parseval Identity useful in signal processing? | |
Ans. The Parseval Identity is useful in signal processing as it allows for the calculation of signal energy in both the time and frequency domains, providing a way to analyze and compare signals efficiently.
| 3. What is the significance of the Parseval Identity in the context of CSIR NET Physical Science exam? | |
Ans. Understanding the Parseval Identity is crucial for scoring well in the CSIR NET Physical Science exam, as it is a fundamental concept in signal processing and Fourier analysis which are key topics in the syllabus.
| 4. Can the Parseval Identity be applied to all types of signals? | |
Ans. Yes, the Parseval Identity can be applied to all types of signals, including continuous and discrete signals, making it a versatile tool in analyzing signal properties.
| 5. How can one prove the Parseval Identity mathematically? | |
Ans. The Parseval Identity can be proven mathematically by integrating the product of a signal and its complex conjugate over time, and then integrating the product of its Fourier transform and its complex conjugate over frequency, showing that they are equal.
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Oct 14, 2025
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